10 papers · 1 filter
Detecting quasicrystals with quadratic time-frequency distributions
Paolo Boggiatto, Carmen Fernández, Antonio Galbis +1
The usefulness of time-frequency analysis methods in the study of quasicrystals was pointed out in a previous paper, where we proved that a tempered distribution on ${\mathbb R…
Wigner transform and quasicrystals
Paolo Boggiatto, Carmen Fernández, Antonio Galbis +1
Quasicrystals are tempered distributions which satisfy symmetric conditions on and . This suggests that techniques from time-frequency analysis could possibly b…
Norm estimates for selfadjoint Toeplitz operators on the Fock space
Antonio Galbis
An estimate for the norm of selfadjoint Toeplitz operators with a radial, bounded and integrable symbol is obtained. This emphasizes the fact that the norm of such operator is stri…
Invariant subspaces of the integration operators on Hörmander algebras and Korenblum type spaces
José Bonet, Antonio Galbis
We describe the proper closed invariant subspaces of the integration operator when it acts continuously on countable intersections and countable unions of weighted Banach spaces of…
Characterizations of a class of Pilipovi{ć} spaces by powers of harmonic oscillator
Ahmed Abdeljawad, Carmen Fernandez, Antonio Galbis +2
We show that a smooth function on belongs to the Pilipovi{ć} space or the Pilipovi{ć} space $\mathcal H_{0,\flat _σ}(\mathbf…
Spectrum of composition operators on with polynomial symbols
Carmen Fernández, Antonio Galbis, Enrique Jordá
We study the spectrum of operators in the Schwartz space of rapidly decreasing functions which associate each function with its composition with a polynomial. In the case where thi…